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Finding the Fourth Proportional to 712.04, 1,067.78 and 387.24

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Solution

The fourth proportional to 712.04, 1,067.78 and 387.24 is: 580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.04 : 1,067.78 = 387.24 : x
  2. Step 2: Convert to fraction form
    712.04/1,067.78 = 387.24/x
  3. Step 3: Cross multiply
    712.04x = 1,067.78 × 387.24
  4. Step 4: Simplify right side
    712.04x = 413,487.13
  5. Step 5: Solve for x
    x = 413,487.13/712.04
  6. Step 6: Final answer
    x = 580.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.